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Topics And Methods In Q-series, Mc Laughlin James


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Цена: 81310.00T
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Склад Америка: 240 шт.  
При оформлении заказа до: 2025-08-04
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Автор: Mc Laughlin James
Название:  Topics And Methods In Q-series
ISBN: 9789813223363
Издательство: World Scientific Publishing
Классификация:
ISBN-10: 9813223367
Обложка/Формат: Paperback
Страницы: 400
Вес: 0.54 кг.
Дата издания: 01.11.2017
Серия: Monographs in number theory
Язык: English
Размер: 229 x 152 x 21
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Calculus & mathematical analysis, MATHEMATICS / Combinatorics,MATHEMATICS / Functional Analysis,MATHEMATICS / Mathematical Analysis
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Поставляется из: Англии
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The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeometric series. The book essentially assumes no prior knowledge but eventually provides a comprehensive introduction to many important topics. After developing a treatment of historically important topics such as the q-binomial theorem, Heines transformation, the Jacobi triple product identity, Ramanujans 1-psi-1 summation formula, Baileys 6-psi-6 summation formula and the Rogers-Fine identity, the book goes on to delve more deeply into important topics such as Bailey- and WP-Bailey pairs and chains, q-continued fractions, and mock theta functions. There are also chapters on other topics such as Lambert series and combinatorial proofs of basic hypergeometric identities.

The book could serve as a textbook for the subject at the graduate level and as a textbook for a topic course at the undergraduate level (earlier chapters). It could also serve as a reference work for researchers in the area.



Numerical Methods for Conservation Laws

Автор: LeVeque Randall J.
Название: Numerical Methods for Conservation Laws
ISBN: 3764327235 ISBN-13(EAN): 9783764327231
Издательство: Springer
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Цена: 37260.00 T
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Описание: These notes were developed for a graduate-level course on the theory and numerical solution of nonlinear hyperbolic systems of conservation laws. Part I deals with the basic mathematical theory of the equations: the notion of weak solutions, entropy conditions, and a detailed description of the wave structure of solutions to the Riemann problem. The emphasis is on tools and techniques that are indispensable in developing good numerical methods for discontinuous solutions. Part II is devoted to the development of high resolution shock-capturing methods, including the theory of total variation diminishing (TVD) methods and the use of limiter functions. The book is intended for a wide audience, and will be of use both to numerical analysts and to computational researchers in a variety of applications.

Introduction to Perturbation Methods

Автор: Holmes Mark H
Название: Introduction to Perturbation Methods
ISBN: 146145476X ISBN-13(EAN): 9781461454762
Издательство: Springer
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Цена: 39130.00 T
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Описание: Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas.One hundred new pages added including new material on transcedentally small terms, Kummer`s function, weakly coupled oscillators and wave interactions.

Spectral Methods. Evolution to Complex Geometries and Applications to Fluid Dynamics

Автор: Claudio Canuto; M. Yousuff Hussaini; Alfio Quarter
Название: Spectral Methods. Evolution to Complex Geometries and Applications to Fluid Dynamics
ISBN: 3642433952 ISBN-13(EAN): 9783642433955
Издательство: Springer
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Цена: 93160.00 T
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Описание: Following up the seminal Spectral Methods in Fluid Dynamics, this book surveys the essential algorithmic and theoretical aspects of spectral methods for complex geometries. This is a companion book to Spectral Methods: Fundamentals in Single Domains, which discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions.

Advanced Boundary Element Methods

Автор: Joachim Gwinner , Ernst Peter Stephan
Название: Advanced Boundary Element Methods
ISBN: 3319920006 ISBN-13(EAN): 9783319920009
Издательство: Springer
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Цена: 83850.00 T
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Описание: This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems.

It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods - efficient computational tools that have become extremely popular in applications. Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research. The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.


Polyhedral Methods in Geosciences

Автор: Di Pietro Daniele Antonio, Formaggia Luca, Masson
Название: Polyhedral Methods in Geosciences
ISBN: 3030693627 ISBN-13(EAN): 9783030693626
Издательство: Springer
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Цена: 139750.00 T
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Описание: The last few years have witnessed a surge in the development and usage of discretization methods supporting general meshes in geoscience applications.

Topics in Algebra and Analysis

Автор: Radmila Bulajich Manfrino; Jos? Antonio G?mez Orte
Название: Topics in Algebra and Analysis
ISBN: 3319119451 ISBN-13(EAN): 9783319119458
Издательство: Springer
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Цена: 41920.00 T
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Описание: It helps students in preparing for national and international mathematical contests form high school level to more advanced competitions and will also be useful for their first year of mathematical studies at the university.

Applied Numerical Methods with MATLAB

Автор: Chapra Steven C
Название: Applied Numerical Methods with MATLAB
ISBN: 0071086188 ISBN-13(EAN): 9780071086189
Издательство: McGraw-Hill
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Цена: 52610.00 T
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Описание: Suitable for engineering and science students who need to learn numerical problem solving, this book introduces theory to inform key concepts which are framed in applications and demonstrated using MATLAB. It features chapters on Eigenvalues and Fourier Analysis and is accompanied by a set of m-files and instructor materials.

Numerical Methods for Fluid Dynamics

Автор: Durran
Название: Numerical Methods for Fluid Dynamics
ISBN: 1441964118 ISBN-13(EAN): 9781441964113
Издательство: Springer
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Цена: 74530.00 T
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Описание: The new title of this major revision of Numerical Methods for Wave Equations in Geophysical Fluid Dynamics conveys its broader scope. Aimed at those studying geophysical fluids, it also helps find numerical solutions to time-dependent differential equations.

Advanced mathematical methods for scientists and engineers

Автор: Bender, Carl M. (washington University, Usa) Orsza
Название: Advanced mathematical methods for scientists and engineers
ISBN: 1441931872 ISBN-13(EAN): 9781441931870
Издательство: Springer
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Цена: 68900.00 T
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Описание: This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory and explains how to use these methods to obtain approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which brute-force numerical methods may not converge to useful solutions. The objective of this book is to teaching the insights and problem-solving skills that are most useful in solving mathematical problems arising in the course of modern research. Intended for graduate students and advanced undergraduates, the book assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations; develops local asymptotic methods for differential and difference equations; explains perturbation and summation theory; and concludes with a an exposition of global asymptotic methods, including boundary-layer theory, WKB theory, and multiple-scale analysis. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach the reader how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions; over 600 problems, of varying levels of difficulty; and an appendix summarizing the properties of special functions.

Fractional Calculus in Soil Hydrology and Mechanics

Автор: Su, Ninghu
Название: Fractional Calculus in Soil Hydrology and Mechanics
ISBN: 1138491667 ISBN-13(EAN): 9781138491663
Издательство: Taylor&Francis
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Цена: 178640.00 T
Наличие на складе: Нет в наличии.
Описание: This book is an unique integrated treatise, on the concepts of fractional calculus as models with applications in hydrology, soil science and geomechanics. The self-contained book summaries the fundamentals for porous media and essential mathematics with extensive references supporting the development of the model and applications.

Mathematical Methods of Analytical Mechanics

Автор: Henri Gouin
Название: Mathematical Methods of Analytical Mechanics
ISBN: 1785483153 ISBN-13(EAN): 9781785483158
Издательство: Elsevier Science
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Цена: 230190.00 T
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Описание: Mathematical Methods of Analytical Mechanics uses tensor geometry and geometry of variation calculation, includes the properties associated with Noether's theorem, and highlights methods of integration, including Jacobi's method, which is deduced. In addition, the book covers the Maupertuis principle that looks at the conservation of energy of material systems and how it leads to quantum mechanics. Finally, the book deduces the various spaces underlying the analytical mechanics which lead to the Poisson algebra and the symplectic geometry.


Linear ordering problem

Автор: Marti, Rafael Reinelt, Gerhard
Название: Linear ordering problem
ISBN: 3642167284 ISBN-13(EAN): 9783642167287
Издательство: Springer
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Цена: 83850.00 T
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Описание: Faced with the challenge of solving the hard optimization problems that abound in the real world, existing methods often encounter great difficulties. Important applications in business, engineering or economics cannot be tackled by the techniques that have formed the predominant focus of academic research throughout the past three decades. Exact and heuristic approaches are dramatically changing our ability to solve problems of practical significance and are extending the frontier of problems that can be handled effectively. This monograph details state-of-the-art optimization methods, both exact and heuristic, for the LOP. The authors employ the LOP to illustrate contemporary optimization technologies as well as how to design successful implementations of exact and heuristic procedures. Therefore, they do not limit the scope of this book to the LOP, but on the contrary, provide the reader with the background and practical strategies in optimization to tackle different combinatorial problems.


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